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Finding the Fourth Proportional to 5,616.79, 7,749.73 and 3,625

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Solution

The fourth proportional to 5,616.79, 7,749.73 and 3,625 is: 5,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.79 : 7,749.73 = 3,625 : x
  2. Step 2: Convert to fraction form
    5,616.79/7,749.73 = 3,625/x
  3. Step 3: Cross multiply
    5,616.79x = 7,749.73 × 3,625
  4. Step 4: Simplify right side
    5,616.79x = 28,092,771.25
  5. Step 5: Solve for x
    x = 28,092,771.25/5,616.79
  6. Step 6: Final answer
    x = 5,001.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.